|本期目录/Table of Contents|

一类算子矩阵的特征向量展开定理(PDF)

《内蒙古大学学报(自然科学版)》[ISSN:1000-9035/CN:22-1262/O4]

期数:
2015年06期
页码:
561-567
栏目:
研究论文
出版日期:
2015-11-20

文章信息/Info

Title:
Eigen-vector Expansion Theorem of a Class of Operator Matrices
作者:
乔羽1 阿拉坦仓2 贺飞1 张国亭1
1. 内蒙古大学数学科学学院, 呼和浩特 010021;
2. 呼和浩特民族学院, 呼和浩特 010051
Author(s):
QIAO Yu1 Alarancang2 HE Fei1 ZHANG Guo-ting1
1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;
2. Hohhot University for Nationalities, Hohhot 010051, China
关键词:
算子矩阵特征向量辛正交性完备性
Keywords:
operator matrixeigen-vectorsymplectic orthogonalityelasticity
分类号:
O171.1
DOI:
-
文献标识码:
-
摘要:
建立了一类算子矩阵的展开定理,并给出该类算子矩阵特征向量的辛正交性和Cauchy主值意义下完备的充要条件.最后,给出一个例子验证所得结果的有效性.
Abstract:
An expansion theorem of a class of operator matrices is set up.The symplectic orthogonality of eigen-vectors is obtaind,and a necessary and sufficient condition for the completeness of the eigen-vector system is further given.As concrete applications,the obtained results are tested for differential equations.

参考文献/References

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备注/Memo

备注/Memo:
收稿日期:2015-07-01;改回日期:。
基金项目:国家自然科学基金资助项目(11371185);内蒙古自然科学基金资助项目(2013ZD01)
作者简介:乔羽(1991-),女,内蒙古鄂尔多斯人,2013级硕士研究生.
通讯作者:阿拉坦仓(1963-),男(蒙古族),内蒙古兴安盟人,教授,博士.
更新日期/Last Update: 1900-01-01